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Finding the Fourth Proportional to 172,843.12, 259,086.61 and 66,197.98

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Solution

The fourth proportional to 172,843.12, 259,086.61 and 66,197.98 is: 99,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,843.12 : 259,086.61 = 66,197.98 : x
  2. Step 2: Convert to fraction form
    172,843.12/259,086.61 = 66,197.98/x
  3. Step 3: Cross multiply
    172,843.12x = 259,086.61 × 66,197.98
  4. Step 4: Simplify right side
    172,843.12x = 17,151,010,227.05
  5. Step 5: Solve for x
    x = 17,151,010,227.05/172,843.12
  6. Step 6: Final answer
    x = 99,228.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.